A resolvent expansion for a 3D Hamiltonian yields approximate quasiperiodic 2D edge states for incommensurate line defects in honeycomb Schrödinger operators, with energies dense in the bulk spectral gap.
Homogenizationofquasiperiodicstruc- turesandtwo-scalecut-and-projectionconvergence
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Continuum honeycomb Schr\"odinger operators with incommensurate line defects
A resolvent expansion for a 3D Hamiltonian yields approximate quasiperiodic 2D edge states for incommensurate line defects in honeycomb Schrödinger operators, with energies dense in the bulk spectral gap.